Compare Rate of Change

Front

What is the rate of change in a linear equation?

Back

The rate of change in a linear equation is the slope, which indicates how much the dependent variable (y) changes for a unit change in the independent variable (x).

Front

How do you identify a negative rate of change in an equation?

Back

A negative rate of change occurs when the slope of the line is negative, meaning as x increases, y decreases.

Front

What does a greater rate of change indicate about two lines?

Back

A greater rate of change indicates that one line rises or falls more steeply than another line, meaning it has a larger absolute value of slope.

Front

What is the slope of the equation y = 3x + 2?

Back

The slope is 3, indicating a positive rate of change.

Front

What is the slope of the equation y = -5x + 1?

Back

The slope is -5, indicating a negative rate of change.

Front

If a line has a slope of 0, what does that mean?

Back

A slope of 0 means the line is horizontal, indicating no change in y as x changes.

Front

How do you calculate the rate of change from a table of values?

Back

The rate of change can be calculated by taking the difference in y-values divided by the difference in x-values between two points.

Front

What is the formula for slope (rate of change)?

Back

The formula for slope is m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What does it mean if two lines have the same rate of change?

Back

If two lines have the same rate of change, they are parallel and will never intersect.

Front

What is the rate of change in the context of a real-world scenario?

Back

In a real-world scenario, the rate of change can represent how one quantity changes in relation to another, such as speed (distance over time).